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Subgame perfect equilibria in majoritarian bargaining

Author

Listed:
  • Herings P.J.J.
  • Meshalkin A.V.
  • Predtetchinski A.

    (GSBE)

Abstract

We study the division of a surplus under majoritarian bargaining in the three-person case. In a stationary equilibrium as derived by Baron and Ferejohn 1989, the proposer offers one third times the discount factor of the surplus to a second player and allocates no payoff to the third player, a proposal which is accepted without delay. Laboratory experiments show various deviations from this equilibrium, where different offers are typically made and delay may occur before acceptance. We address the issue to what extent these findings are compatible with subgame perfect equilibrium and characterize the set of subgame perfect equilibrium payoffs for any value of the discount factor. We show that for any proposal in the interior of the space of possible agreements there exists a discount factor such that the proposal is made and accepted. We characterize the values of the discount factor for which equilibria with one-period delay exist. We show that any amount of equilibrium delay is possible and we construct subgame perfect equilibria such that arbitrary long delay occurs with probability one.

Suggested Citation

  • Herings P.J.J. & Meshalkin A.V. & Predtetchinski A., 2013. "Subgame perfect equilibria in majoritarian bargaining," Research Memorandum 072, Maastricht University, Graduate School of Business and Economics (GSBE).
  • Handle: RePEc:unm:umagsb:2013072
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    File URL: https://cris.maastrichtuniversity.nl/portal/files/1059270/content
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    References listed on IDEAS

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    1. Fr Chette, Guillaume R. & Kagel, John H. & Lehrer, Steven F., 2003. "Bargaining in Legislatures: An Experimental Investigation of Open versus Closed Amendment Rules," American Political Science Review, Cambridge University Press, vol. 97(02), pages 221-232, May.
    2. Breitmoser, Yves & Tan, Jonathan H.W., 2010. "Generosity in bargaining: Fair or fear?," MPRA Paper 27444, University Library of Munich, Germany.
    3. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, January.
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    Cited by:

    1. Bradfield, Anthony J. & Kagel, John H., 2015. "Legislative bargaining with teams," Games and Economic Behavior, Elsevier, vol. 93(C), pages 117-127.
    2. Duozhe Li, 2014. "Multiplicity of Equilibrium Payoffs in Three-Player Baron-Ferejohn Model," Economics Bulletin, AccessEcon, vol. 34(2), pages 1122-1132.

    More about this item

    Keywords

    Noncooperative Games; Bargaining Theory; Matching Theory;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

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